Can someone please help me?

Solve the following system of equations graphically on the set of axes below. Y=-1/2x +1 and y=x-5

Goshia [24]

Answer:

-1/2x+1=x-5

x=4

y=-4/2+1

y=-2+1

y=-1

(x,y)=(4,-1)

7 0

3 years ago

Tesla Battery Recharge Time.The electric vehicle manufacturing company Tesla estimates that a driver who commutes 50 miles per

madam [21]

Answer:

a.) f(x) = $\frac{1}{30}$ where 90 < x < 120

b.) $\frac{2}{3}$

c.) $\frac{2}{3}$

d.) $\frac{1}{2}$

Step-by-step explanation:

Let

X be a uniform random variable that denotes the actual charging time of battery.

Given that, the actual recharging time required is uniformly distributed between 90 and 120 minutes.

⇒X ≈ ∪ ( 90, 120 )

a.)

Probability density function , f (x) = $\frac{1}{120 - 90} = \frac{1}{30}$ where 90 < x < 120

b.)

P(x < 110) = $\int\limits^{110}_{90} {\frac{1}{30} } \, dx$

= $\frac{1}{30}[x]\limits^{110}_{90} = \frac{1}{30} [ 110 - 90 ] = \frac{1}{30} [ 20] = \frac{2}{3}$

c.)

P(x > 100 ) = $\int\limits^{120}_{100} {\frac{1}{30} } \, dx$

= $\frac{1}{30}[x]\limits^{120}_{100} = \frac{1}{30} [ 120 - 100 ] = \frac{1}{30} [ 20] = \frac{2}{3}$

d.)

P(95 < x< 110) = $\int\limits^{110}_{95} {\frac{1}{30} } \, dx$

= $\frac{1}{30}[x]\limits^{110}_{95} = \frac{1}{30} [ 110 - 95 ] = \frac{1}{30} [ 15] = \frac{1}{2}$

7 0

3 years ago

Mr. Layton needs to buy some oil for his central heating. He can put up to 2500 litres of oil in his oil tank. There are already

allochka39001 [22]

Answer:

Step-by-step explanation:

If the tank holds 2500 liters and there are already 750 liters in there, he only needs to buy 1750 liters.

If he is saving 6%, he is still spending 94%, so

.94(58.4) = 54.896 (what he'll be paying per liter after the 6% comes off, then

54.896(1750) = $96,068

4 0

2 years ago

Kamil invests 9000 for 4 years his investment pays compound interest of x% per anumn

elena-s [515]

To get the Total amount upon investment for the compound interest, plug in the value of x into the given expression bellow

Given data

Principal = $9000

Time = 4 years

Rate = x% per annum

<h3>Solution</h3>

Step one:

First, convert R as a percent to r as a decimal

r = x/100

Step two:

Then solve the equation for A

A = P(1 + x/100)^t

A = 9,000.00(1 + x/100)^(4)

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $9,000.00 at a rate of x% per year.

Learn more about compound interest here:

brainly.com/question/24924853

6 0

2 years ago

In the blueprint for A rectangular balcony is 1 inch by 1.75 inches if the actual length is 7 feet what is the perimeter

Elenna [48]

Answer:

22 feet

Step-by-step explanation:

Given

In blue print,dimensions of rectangular balcony are, length(l)=1.75inch and breadth(b)=1inch
The actual length(L)=7 feet

To find the actual perimeter, we need the breadth of balcony(B)

The ratio of length to breadth in blue print must be equal to the ratio of actual length to breadth

⇒

$\frac{\text{length of rectangular balcony in blueprint}}{\text{breadth of rectangular balcony in blueprint}} =\frac{\text{length of rectangular balcony actually}}{\text{breadth of rectangular balcony actually}}$

$\frac{l}{b} =\frac{L}{B} \\B\times l=L \times b\\B= \frac{L \times b}{l}=\frac{7 \times 1}{1.75} =4$

Therefore Breadth actually=4 feet

⇒Perimeter

$=2\times(length+breadth)\\=2\times(7+4)\\=2\times(11)\\=22$

Therefore perimeter of rectangular balcony= 22 feet

5 0

3 years ago